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Finding the Fourth Proportional to 1,307.88, 1,968.89 and 1,194.89

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Solution

The fourth proportional to 1,307.88, 1,968.89 and 1,194.89 is: 1,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.88 : 1,968.89 = 1,194.89 : x
  2. Step 2: Convert to fraction form
    1,307.88/1,968.89 = 1,194.89/x
  3. Step 3: Cross multiply
    1,307.88x = 1,968.89 × 1,194.89
  4. Step 4: Simplify right side
    1,307.88x = 2,352,591.15
  5. Step 5: Solve for x
    x = 2,352,591.15/1,307.88
  6. Step 6: Final answer
    x = 1,798.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.